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In this paper, we show the convergence of approximate so-lutions to the convective porous media equation using methodology de-veloped in [8]. First, we obtain the approximate transport equation forthe given convective porous media equation. Then using the averaginglemma, we obtain the convergence.
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참고문헌 (23)
참고문헌 신청
/ 19591963 / Uniqueness and stability of the generalized solution of the Cauchy problemfor a quasi-linear equation
/ 1969 / Cauchy problem for degenerate second order quasilinearparabolic equations
/ 1971 / First order quasilinear equations with several independent variables
/ 1979;vol / Compensated compactness and applications to partial di??erential equations Pitman Research Notes in Mathematics
/ 1982 / Convergence of solutions to nonlinear dispersive equations
/ 1969 / Cauchy problem for degenerate second order quasilinearparabolic equations
/ 1971 / First order quasilinear equations with several independent variables
/ 1979;vol / Compensated compactness and applications to partial di??erential equations Pitman Research Notes in Mathematics
/ 1982 / Convergence of solutions to nonlinear dispersive equations
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